Question

In: Statistics and Probability

The magnetic field of a uniform plane wave propagating in the +Y direction in medium with...

The magnetic field of a uniform plane wave propagating in the +Y direction in medium with {ɛ, = 18, µ, = 1, 0 = 5}. At y = 0 is H = a, cos(10°n t) (A/m). Determine: %3D a) What is the type of this medium b) The values and units of the following wave parameters a, B,n, vp, A, & and write the name of each parameter. c) Write the expressions of E(y, t) & H(y, t) at y = 0.75 (m).

Expert Solution

Solution:-

Given that

The magnetic field of a plane wave propagating in the +Y direction in medium with .

At y = 0 is .

Determine

a) What is the type of this medium

Type of the medium

as relative permitivity and relative permeability is given .e

for a lossy dielectrics ()

so it is a lossy dielectric medium.

b) The values and units of the following wave parameters and write the name of each parameter.

for a lossy dielectric

where

c) Write the expressions of & at y = 0.75 (m).

expressions for & at y = 0.75 m

but from given magnetic field equation

so

given y = 0.75 m

Thanks for supporting...

Please give positive rating...

Please give thumbs up...

orchestra answered 1 year ago

The magnetic field of a uniform plane wave that propagates in a vacuum, is given by...

The magnetic field of a uniform plane wave that propagates in a vacuum, is given by the expression: B (r, t) = (10^−6 )[xˆ + 2yˆ + Bzzˆ] cos [ωt + 3x - y - z] in m.k.s.units and where xˆ, yˆ, zˆ are unit vectors along the cartesians axes . Find: (a) The propagation direction. (b) The wavelength λ. (c) The angular frequency ω. (d) The associated electrical field

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 nm, propagating...

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 nm, propagating in a vacuum in the z-direction is described by B⃗ =(B1sin(kz−ωt))(i^+j^)B→=(B1sin⁡(kz−ωt))(i^+j^) where B1 = 5.3 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m-1 2) What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is...

A plane electromagnetic wave with magnetic field amplitude 0.02 T is propagating through a vacuum. What...

A plane electromagnetic wave with magnetic field amplitude 0.02 T is propagating through a vacuum. What is the electric field amplitude? B) What is the magnitude of the Poynting vector? C. If the wavelength is 500 nm what is the wave frequency and the energy of a single photon? D. How many of these photons must pass through a square meter each second to yield the power flux calculated in part B?

1. An electron, initially moving in the +x-direction enters a uniform magnetic field in the +y-direction....

1. An electron, initially moving in the +x-direction enters a uniform magnetic field in the +y-direction. What is the direction of the initial magnetic force on the electron? None of the choices is correct. between +x and +y-directions +z-direction between +x and –y-directions –z-direction 2. A small light source radiates light uniformly in all directions at a rate of 10 W. What is the light intensity at a distance of 2 m from the source? 0.4 W/m2 0.8 W/m2 0.2...

A positively-charged particle is moving in the +x-direction. A uniform magnetic field in the +z direction...

A positively-charged particle is moving in the +x-direction. A uniform magnetic field in the +z direction is then applied. What is the direction of the magnetic force on the charge?

The loop is in a magnetic field 0.22 T whose direction is perpendicular to the plane...

The loop is in a magnetic field 0.22 T whose direction is perpendicular to the plane of the loop. At t = 0, the loop has area A = 0.285 m2.Suppose the radius of the elastic loop increases at a constant rate, dr/dt = 3.45 cm/s . A) Determine the emf induced in the loop at t = 0 and at t = 1.00 s . Express your answer using two sifnificant figures E(0) = mV B) Express your answer...

A uniform magnetic field is directed into the page. A charged particle, moving in the plane...

A uniform magnetic field is directed into the page. A charged particle, moving in the plane of the page, follows a clockwise spiral of decreasing radius as shown. A reasonable explanation is: a.the charge is negative and speeding up b.none of these c.the charge is negative and slowing down d.the charge is positive and slowing down e.the charge is positive and speeding up

a. Write an expression for the electric field vector of a uniform plane wave in free...

a. Write an expression for the electric field vector of a uniform plane wave in free space that is propagating in the direction given by a line from the origin to the point (3,0,4) and that is linearly polarized along the y-direction. It has a wavelength of 2 �m and reaches its positive maximum amplitude of 20 V/m at a distance of 1 m from the origin at t = 0 s. b. Compute the irradiance of this wave.

A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. Part A If at...

A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. Part A If at a particular instant and at a certain point in space the electric field is in the +x-direction and has a magnitude of 3.40V/m , what is the magnitude of the magnetic field of the wave at this same point in space and instant in time? Part B What is the direction of the magnetic field?

A uniform magnetic field has an initial value of 0.45 T and a direction toward the...

A uniform magnetic field has an initial value of 0.45 T and a direction toward the right. A square loop of wire with side length 0.15 m is in the field and is oriented at 45° to the field direction. The magnetic field is decreased linearly to zero during a time interval of 0.13 s. A. What is the emf generated in the wire loop during this process? B. If the wire has a diameter of 8.4X10-4 m and a...